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Classification of fusion categories generated by a self-dual simple object of FP-dimension 2

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Publication:5065664
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DOI10.1142/S0219498822500748zbMath1490.18023OpenAlexW3112005406MaRDI QIDQ5065664

Li Bin Li, Zhi Hua Wang, Jing Cheng Dong

Publication date: 22 March 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822500748


zbMATH Keywords

fusion categoryfusion ruleGrothendieck equivalence


Mathematics Subject Classification ID

Hopf algebras and their applications (16T05) Monoidal categories, symmetric monoidal categories (18M05)




Cites Work

  • A finiteness property for braided fusion categories
  • Classical and quantum conformal field theory
  • Binary polyhedral groups and Euclidean diagrams
  • Representations of algebraic quantum groups and reconstruction theorems for tensor categories
  • Faithful simple objects, orders and gradings of fusion categories
  • On fusion categories.
  • A CRITERION FOR THE JACOBSON SEMISIMPLICITY OF THE GREEN RING OF A FINITE TENSOR CATEGORY
  • Tensor Categories
  • The classification of subfactors of index at most 5
  • Notes on Coxeter Transformations and the McKay Correspondence
  • On higher Frobenius-Schur indicators
  • Frobenius property for fusion categories of small integral dimension
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